Theorems · Theorem · functional analysis
NonUnitalSubalgebra.le_topologicalClosure
∀ {R : Type u_1} {A : Type u_2} [inst : CommSemiring R] [inst_1 : TopologicalSpace A] [inst_2 : NonUnitalSemiring A]
[inst_3 : Module R A] [inst_4 : ContinuousConstSMul R A] [inst_5 : IsSemitopologicalSemiring A]
(s : NonUnitalSubalgebra R A), s ≤ s.topologicalClosure- Cited by
- 1 results in Mathlib
- Foundations
- Depth 85 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement and proof · cited by 24,529
- Modulestatement and proof · cited by 20,661
- CommSemiringstatement and proof · cited by 10,911
- ContinuousConstSMulstatement and proof · cited by 832
- NonUnitalSemiringstatement and proof · cited by 339
- subset_closureproof · cited by 309
- NonUnitalSubalgebrastatement and proof · cited by 215
- IsSemitopologicalSemiringstatement and proof · cited by 88
- NonUnitalSubalgebra.topologicalClosurestatement · cited by 8
Cited by1
Results whose statement or proof uses this declaration.
- NonUnitalAlgebra.elemental.self_memproof · cited by 1